J13
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1<br />
(c) <br />
<br />
3<br />
(d)<br />
5<br />
<br />
0 <br />
3. In each of the following, draw p + q and state its column vector.<br />
4. Given that OR = OP + OQ, state the coordinates of R when the coordinates of P<br />
and Q are:<br />
(a) P(0, 1) and Q(3, 6)<br />
(b) P(-3, 2) and Q(5, 1)<br />
(c) P(-4, -3) and Q(2, 0)<br />
(d) P(1, -7) and Q(6, 2).<br />
5. Write down negatives of each of the following vectors:<br />
(a)<br />
7<br />
<br />
5<br />
<br />
(b) <br />
11<br />
6<br />
(c)<br />
<br />
3<br />
2<br />
<br />
(d) <br />
<br />
3<br />
0<br />
(e)<br />
4<br />
0<br />
<br />
(f) <br />
8<br />
0<br />
6. P is (5, 3), Q is (-4, 2) and R is (2, -3). Find the column vectors PQ, RQ and RP.<br />
7.<br />
0 <br />
The coordinates of point A are (2, 1) and AB = . Find the coordinates of B.<br />
5<br />
8. Given A(6, 3) and B(-4, 9), find the coordinates of C when:<br />
(a) OC = OA + OB